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Finding the Third Proportional to 1,993,908,046 and 4,338,921,446

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Solution

The third proportional to 1,993,908,046 and 4,338,921,446 is: 9,441,879,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,908,046 : 4,338,921,446 = 4,338,921,446 : x
  2. Step 2: Convert to fraction form
    1,993,908,046/4,338,921,446 = 4,338,921,446/x
  3. Step 3: Cross multiply
    1,993,908,046x = 4,338,921,446 × 4,338,921,446
  4. Step 4: Simplify right side
    1,993,908,046x = 18,826,239,314,558,730,240
  5. Step 5: Solve for x
    x = 18,826,239,314,558,730,240/1,993,908,046
  6. Step 6: Final answer
    x = 9,441,879,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.